A) The domain remains the same.
Since, in y = - 2 f(x) , the y is whats being multiplied and therefore changed, not the x or domain.
Therefore D[-6,10] <span>
The range is what changes by a factor of -2.
If the original range was [-8,12], then the new one is
[(-8 x -2),(12 x -2)] = [16 , -24].
However, you must flip the numbers to make the interval true, giving you R [-24,16]</span>
WT
It does not perfectly cut the circle in half.
First, note that
is always positive (except for x=0), so
must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,
and
are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
F(x) = 20x+300
you sub in the x values (120 hours and 100 hours) for each equation
the only one they both work for is the last one
f(x) = 20x + 300
f(100) = (20 * 100) + 300 = 2000 + 300 = 2300
f(120) = (20 * 120) + 300 = 2400 + 300 = 2700
Answer: √5
2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.
-3 is a rational number because it's an
integer and all integers are rational.
√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.
√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's
non-terminating and non-repeating.
